Christoph Sieg

Kiteswarms

Tuesday, March 13, 2018, 11:00

Room 01-012, Georges-Köhler-Allee 102, Freiburg 79110, Germany

Abstract:

In the continuation of the talk at the KS-Syscop workshop I will motivate how the Euler number obtained from the homology of the boundary operator via Stokes' theorem translates to the cohomology of the outer differential of alternating differential forms. To this purpose, I will introduce manifolds as spaces which have differentiable structures and tensors and differential forms on such manifolds. The main focus is on the intuition behind these concepts. As an example for the power of the formalism, I will show how to rewrite Maxwell's equations of electrodynamics in a simple way that makes certain symmetries become manifest.